Field-theoretic Weyl deformation quantization of enlarged Poisson algebras

DOI10.3842/SIGMA.2008.047zbMath1156.46044arXiv0805.4536MaRDI QIDQ935723

Reinhard Honegger, Lothar Schlafer, Alfred Rieckers

Publication date: 8 August 2008

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0805.4536

zbMATH Keywords

strict deformation quantizationBanach-*- and \(C^{*}\)-algebraic methodspartially universal representationstwisted convolution products on measure spacesWeyl quantization for infinitely many degrees of freedom

Mathematics Subject Classification ID

Operator algebra methods applied to problems in quantum theory (81R15) Quantizations, deformations for selfadjoint operator algebras (46L65)

Related Items (5)

The classical limit of a state on the Weyl algebra ⋮ Classical limits of gauge-invariant states and the choice of algebra for strict quantization ⋮ Quantization as a categorical equivalence ⋮ Classical limits of unbounded quantities by strict quantization ⋮ Extensions of bundles of C*-algebras

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